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Finding the Fourth Proportional to 571,744.80, 789,056.28 and 317,178

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Solution

The fourth proportional to 571,744.80, 789,056.28 and 317,178 is: 437,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,744.80 : 789,056.28 = 317,178 : x
  2. Step 2: Convert to fraction form
    571,744.80/789,056.28 = 317,178/x
  3. Step 3: Cross multiply
    571,744.80x = 789,056.28 × 317,178
  4. Step 4: Simplify right side
    571,744.80x = 250,271,292,777.84
  5. Step 5: Solve for x
    x = 250,271,292,777.84/571,744.80
  6. Step 6: Final answer
    x = 437,732.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.